Regularity for $C^{1,\alpha }$ interface transmission problems

Abstract

We study existence, uniqueness, and optimal regularity of solutions to transmission problems for harmonic functions with $C^{1,\alpha }$ interfaces. For this, we develop a novel geometric stability argument based on the mean value property.

25 pages, 2 figures

Cited by in corpus (3)

• Regularity of a transmission problem and periodic homogenization
• A simple proof of regularity for $C^{1,\alpha }$ interface transmission problems
• Gradient estimates for divergence form parabolic systems